subject stringclasses 1
value | question stringlengths 3 1.14k | options listlengths 5 5 | solution stringlengths 18 3.7k | answer stringclasses 5
values |
|---|---|---|---|---|
mathematics | In how many years will a sum of money doubles itself at 25% per annum on simple interest? | [
"8%",
"2%",
"3%",
"4%",
"5%"
] | P = (P*25*R)/100
R = 4%
ANSWER:D
The answer is: D | D |
mathematics | At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price? | [
"62.5",
"62.9",
"62.6",
"62.1",
"22.4"
] | CP = 47.50
SP = 47.50*(125/100) = 59.375
MP*(95/100) = 59.375
MP = 62.5
Answer: A
The answer is: A | A |
mathematics | An aeroplane covers a certain distance of 480 Kmph in 4 hours. to cover the same distance in 4 1/3 hours, it Must travel at a speed of | [
"440",
"540",
"443",
"740",
"250"
] | Speed of aeroplane = 480 Kmph
Distance travelled in 4 hours
= 480 * 4 = 1920 Km
Speed of aeroplane to acver 1920 Km in 13/3
= 1920*3/13 = 443 Km
Answer C.
The answer is: C | C |
mathematics | Look at this series: 544, 509, 474, 439,404, 369, 334, ... What number should come next? | [
"206",
"299",
"306",
"507",
"404"
] | 299
This is a simple subtraction series. Each number is 35 less than the previous number.
B
The answer is: B | B |
mathematics | It is the New Year and Mandy has made a resolution to lose weight this year. She plans to exercise and do yoga. For exercise she plans to workout at the gym and ride her bicycle in the ratio of 2:3 everyday. She will also do yoga in the ratio, yoga:exercise = 2:3. If she rides her bike for 20 minutes, how much time wil... | [
"10 min.",
"33 min.",
"17 min.",
"23 min.",
"25 min."
] | The ratio is 2:3 = gym:ride, so (20)(3/2) = 30 minutes at the gym, and 30 + 20 = 50 minutes exercise, so (2/3)(50) = 33 minutes yoga.
Answer: B
The answer is: B | B |
mathematics | If a sequence of 8 consecutive odd integers with increasing values has 1 as its 7th term, what is the sum of the terms of the sequence? | [
"-48",
"-32",
"-16",
"16",
"32"
] | Let x be the first term.
Then x + 12 = 1 and x = -11
The sum is: x + (x+2) +...+ (x+14) =
8x + 2(1+2+...+7) = 8x + 2(7)(8) / 2 = 8(-11) + 56 = -32
The answer is B.
The answer is: B | B |
mathematics | A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in? | [
"33",
"88",
"40",
"99",
"11"
] | 1/8 - 1/x = 1/10
x = 40
Answer: C
The answer is: C | C |
mathematics | If x, y, and z are positive integers and 3x = 7y = 5z, then the least possible value of x + y + z is | [
"15",
"25",
"71",
"35",
"45"
] | given 3x=7y=5z
x+y+z in terms of x
= x+(3x/7)+(3x/5) = 71x/35
now checking with each of the answers and see which value gives a minimum integer value.
A x = 35/71*15 , not an integer
B,D,E can be ruled out similarly.
C is minimum value as x = 71*35/71 = 35
Answer is C
The answer is: C | C |
mathematics | Two men and three women working 7 hours a day finish a work in 5 days. Four men and four women working 3 hours a day complete the work in 7 days. The number of days in which only 7 men working 4 hours a day will finish the work is? | [
"5 days",
"3 days",
"2 days",
"9 days",
"10 days"
] | Answer: Option A
2M + 3W ----- 35 h
4M + 4W ------- 21 h
7M -------? d
70M + 105W = 84M +84M
21W = 14M => 2M = 3W
4 * 35 = 7 * x => x = 20 hours
20/4 = 5 days
The answer is: A | A |
mathematics | If n is an integer and 5^n > 4,000,000, what is the least possible value of n? | [
"7",
"8",
"9",
"10",
"11"
] | When you separate the 4000000 into factors of 5 and 2 you get - > 10^6 x 2^2 = 5^6 x 2^8
2 to the ^ 8 = 256 so its 256 x 5^6
that means 5^6 x 5^x must be greater
5^x > 256
5^1=5
5^2=25
5^3= 125
5^4= 625 - > so x must be at least 4
5^(6+4)= 5^10
ANSWER:D
The answer is: D | D |
mathematics | Which of the following equations passes through the points (2,4) and (-3,-6) | [
"y = (1/2)x - 2",
"y = 2x + 3",
"y = (-1/2)x + 2",
"y = 2x + 4",
"y = 4x - 4"
] | Find slope first = (y1-y2)/(x1-x2) = (-6-4)/(-3-2) = 2
Using the point (2,4) in options
we get,
y = 4x - 4 as right answer.
Ans- E
The answer is: E | E |
mathematics | Meena wrote number starting from 1 till 19999.Then how many digits did she write ? | [
"87889",
"88889",
"89889",
"88789",
"88989"
] | 1-9=>1*9 digits
10-99=>2*90=180(numbers between 10-99 is 90 where each no has 2 digits)
100-999=>3*900=2700
1000-9999=>4*9000
10000-19999=>5*10000
so ans is 88889
ANSWER:B
The answer is: B | B |
mathematics | A car is purchased on hire-purchase. The cash price is $21 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly instalments. Interest is charged at 12% p.a. What is the monthly instalment? | [
"$503",
"$504",
"$505",
"$506",
"$507"
] | Explanation:
Cash price = $21 000
Deposit = 10% × $21 000 = $2100
Loan amount = $21000 − $2100
= $18900
I=p*r*t/100
I=11340
Total amount = 18900 + 11340 = $30240
Regular payment = total amount /number of payments
Answer: B
The answer is: B | B |
mathematics | If a 4-member subcommittee is to be formed from a certain 6-member committee, how many different such subcommittee are possible? | [
"6",
"15",
"20",
"60",
"216"
] | Another way:
1st member can be selected in 6 ways
2nd can be selected in 5 ways
3rd can be selected in 4 ways
4th can be selected in 3 ways
So total ways : 360
But to avoid the similar scenarios 360/4!=15
B
The answer is: B | B |
mathematics | A pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer’s suggested retail price. If during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer’s suggested re... | [
"$ 10.00",
"$ 11.20",
"$ 14.40",
"$ 16.00",
"$ 19.60"
] | For retail price = $35
First maximum discounted price = 35 - 30% of 35 = 35-10.5 = 24.5
Price after additional discount of 20% = 24.5 - 20% of 24.5 = 24.5- 4.9 = 19.6
Answer: Option E
The answer is: E | E |
mathematics | A man is walking at a speed of 10 km per hour. After every kilometre, he takes rest for 5 minutes. How much time will be take to cover a distance of 5 kilometres? | [
"48 min.",
"50 min.",
"45 min.",
"55 min.",
"None of these"
] | Rest time = Number of rest × Time for each rest
= 4 × 5 = 20 minutes
Total time to cover 5km
= (5⁄10 × 60)minutes + 20 minutes = 50 minutes
Answer B
The answer is: B | B |
mathematics | 50 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine? | [
"80 litres",
"90 litres",
"100 litres",
"170 litres",
"None of these"
] | Explanatory Answer
To cover a distance of 800 kms using a 800 cc engine, the amount of diesel required = 800/600*50 = 66.67 litres.
However, the vehicle uses a 1200 cc engine and the question states that the amount of diesel required varies directly as the engine capacity.
i.e., for instance, if the capacity of engine ... | C |
mathematics | 476 ** 0 is divisible by both 3 and 11.The non zero digits in the hundred's and ten's places are respectively: | [
"8 and 8",
"8 and 5",
"8 and 7",
"7 and 5",
"8 and 3"
] | Explanation:
Let the number be 476ab0
476ab0 is divisible by 3
=> 4 + 7 + 6 + a + b + 0 is divisible by 3
=> 17 + a + b is divisible by 3 ------------------------(i)
476ab0 is divisible by 11
[(4 + 6 + b) -(7 + a + 0)] is 0 or divisible by 11
=> [3 + (b - a)] is 0 or divisible by 11 --------------(ii)
Substitute the va... | D |
mathematics | What is the smallest no. which must be added to 532869 so as to obtain a sum which is divisible by 9? | [
"9",
"2",
"1",
"3",
"6"
] | For 532869 , 5+3+2+8+6+9=33
3 must be added to 532869 to make it divisible by 9.
Now ,5+3+2+8+7+2=27=> 27 is a multiple of 9 and hence 532869 is also divisible by 9
D
The answer is: D | D |
mathematics | If the product of the integers a, b, c and d is 546 and if 1 < a < b < c < d, what is the value of b+c? | [
"273",
"185",
"21",
"10",
"4"
] | Make prime factorization of 546: 546=2*3*7*13.
Now, since given that 1 < a < b < c < d, then a=2, b=3, c=7 and d=13 --> b+c=3+7=10.
Answer: D.
The answer is: D | D |
mathematics | If a : b = 2 : 3 and b : c = 5 : 7, then find a : b : c. | [
"10 : 15 : 27",
"10 : 15 : 21",
"10 : 15 : 22",
"10 : 15 : 12",
"10 : 15 : 28"
] | a : b : c = (2 x 5) : ( 3 x 5) : (3 x 7) = (10) : (15) : (21)
Answer: A
The answer is: A | A |
mathematics | If there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city, find the number of 4 wheelers parked there if the total number of wheels is 82? | [
"11",
"12",
"13",
"20",
"25"
] | four wheeler=20*4=80(max)
2 wheel=1
so no of 4 wheeler=20
ANSWER:D
The answer is: D | D |
mathematics | The price of sugar is increased by 4%. By how much percent should a home maker reduce her consumption of sugar to have no extra expenditure? | [
"(300/103) %",
"(400/104) %",
"(100/107)%",
"(7/100)%",
"(100/700)%"
] | Old price = $100 (assume);
Old consumption = 1 kg (assume).
New price = $104.
We want the spendings to remain at $100.
(New consumption)*104 = 100 --> (New consumption) = 100/104 kg.
Percent decrease = Change/Original *100 = (1 - 100/104)/1*100 = 400/104%.
Answer: B.
The answer is: B | B |
mathematics | If Leo gains 10 pounds, he will weigh 50% more than his sister Kendra. Currently their combined weight is 140 pounds. What is Leo's current weight? | [
"80",
"90",
"100",
"110",
"120"
] | L+K = 140 and so K = 140-L
L+10 = 1.5K = 1.5(140-L)
2.5L = 200
L = 80
The answer is A.
The answer is: A | A |
mathematics | Tough and Tricky questions: Work/Rate Problems.
A group of 4 junior lawyers require 4 hours to complete a legal research assignment. How many hours would it take a group of three legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a junior lawyer?
So... | [
"13",
"10",
"9",
"8",
"5"
] | # of people times the # of hours:
4*4 = 16 --> 4 lawyers do 16worksin 4 hours.
3*8/3 = 24/3 = 8 --> 3 assistants do 8 worksin 8/3 hours (2/3*5= 10/3)
So, since the amount of work the assistants do is half the work the lawyers do, the time will be double, soANS D
The answer is: D | D |
mathematics | suppose that jody drove 80 miles in 2 hours. dividing 80 by 2 tells us how many mile jody drove in each hour. the unit for this rate are miles per hour(miles/hr). if we divide 2 by 80 what information would this give us? give an interpretation of the rate. what unit would be used for this rate? | [
"mile/hours",
"hours/mile",
"minutes/mile",
"km/hours",
"none"
] | speed= distance/time, here speed=distance covered in 1 hour. total distance 80 miles divided by total time 2 hours= 80/2. miles/ hour= 40 mile/hour. jody drove 40 miles in hour. correct answer : (B)
The answer is: B | B |
mathematics | In a recent survey at a local deli, it was observed that 3 out of 5 customers bought a bagel and 5 out of 7 customers bought a coffee. Some customers bought both. If 5 customers are selected, what are the chances that at least 1 customer bought a coffee and a bagel? | [
"27/343",
"3/7",
"27/125",
"329/411",
"9/125"
] | Let us take 7*5=35 as the total number of customers. So 7*3=21 customers bought a bagel and 5*5=25 customers bought a coffee.
chances that at least 1 customer bought a coffee and a bagel = 1 - chances that no customer bought a coffee and a bagel
chances that no customer bought a coffee and a bagel= 24/35*23/34*22/33*21... | D |
mathematics | Teams A, B, C and D were in a baseball tournament. Each team played each other team once. Team A beat team D. Teams A, B and C won the exact same number of games. How many games did team D lose? | [
"2",
"3",
"4",
"6",
"7"
] | There are 4 teams and each team played each other team once. That tells us 2 facts:
Each team played 3 games
4 teams played a total of 6 games.
Since there are only 6 games, only 6 total wins are possible. Since A, B and C won the exact same number of games, they either all won 1 game or all won 2 games. Let’s exam... | B |
mathematics | What is 2 2/3 - 1 1/4 divided by 1/2 - 1/4 ? | [
"17/36",
"36/17",
"17/6",
"17/3",
"51/4"
] | 2 2/3 - 1 1/4 = 8/3 - 5/4 = (32 - 15 )/12 = 17/12
1/2 - 1/4 = (2-1)/4 = 1/4
So 17/12/1/4 = 17/12 *4 = 17/3
Answer - D
The answer is: D | D |
mathematics | SP of a book is Rs. 450 he gets a loss of 10%, find CP of the book? | [
"Rs.300",
"Rs.450",
"Rs.500",
"Rs.600",
"Rs.640"
] | Find cost price
Let C.P. of book = x and S.P. = Rs. 450
S.P. of book = C.P. – (10% of C.P.)
S.P. = x – (0.10x)
450 = 0.9 x
x i.e cost price = Rs.500
C
The answer is: C | C |
mathematics | Jagan went to another town covering 240 km by car moving at 60 kmph. Then he covered 400km by train moving at 100 kmph and then rest 200 km he covered by a bus moving at 50 kmph. The average speed during the whole journey was ? | [
"80 kmph",
"60 kmph",
"10 kmph",
"70 kmph",
"90 kmph"
] | Explanation:
By car 240 km at 60 kmph
Time taken = 240/60 = 4 hr.
By train 240 km at 60 kmph
Time taken = 400/100 = 4 hr.
By bus 240 km at 60 kmph
Time taken = 200/50 = 4 hr.
So total time = 4 + 4 + 4 = 12 hr.
and total speed = 240+400+200 = 840 km
Average speed of the whole journey = 840/12 = 70 kmph.
Answer: D
The an... | D |
mathematics | One night a certain hotel rented 1/2 of its rooms, including 2/3 of their air conditioned rooms. If 3/5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned? | [
"25%",
"30%",
"35%",
"40%",
"50%"
] | The rooms which were not rented is 1/2
The AC rooms which were not rented is (1/3)*(3/5) = 1/5
The percentage of unrented rooms which were AC rooms is (1/5) / (1/2) = 2/5 = 40%
The answer is D.
The answer is: D | D |
mathematics | In a library, there are certain number of books on a shelf, ranging between 75 and 100. 1/6th of them are fiction and 12.5% of them are non-fiction. Find the number of books. | [
"376",
"96",
"26",
"198",
"178"
] | Explanation:
12.5% can be written as 1/8th
Since 1/6th of the books are fiction and 1/8th are non-fiction, the total number of books must be exactly divisible by 6 and 8 and should be between 75 and 100.
Therefore, 96 is the only number, which fulfills the above criteria.
Note that the question doesn't imply that there... | B |
mathematics | How many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph? | [
"17 sec",
"21 sec",
"25 sec",
"27 sec",
"29 sec"
] | D = 120 + 150 = 270
S = 36 * 5/18 = 10 mps
T = 270/10 = 27 sec
The answer is: D | D |
mathematics | In a group of 25 factory workers, 14 have brown eyes. Six of the women do not have brown eyes. How many of the 11 men have brown eyes. | [
"10",
"9",
"8",
"7",
"6"
] | Total number of worker (M+W): 25
No. of men (M): 11 (Inferred fromHow many of the 11 men)
No. of women (W): 14
Total no. of workers who have brown eyes (B): 14
No. of women who do not have brown eyes: 6
Therefore, no. of women who have brown eyes: W - 6 = 14 - 6 = 8
Remaining 6 are men. (B - 8= 14- 8= 6)
So 6 out of 11... | E |
mathematics | A, B and C play a cricket match. The ratio of the runs scored by them in the match is A:B = 5:3 and B:C = 5:2. If the total runs scored by all of them are 60, the runs scored by B are? | [
"20.23",
"20.13",
"30.93",
"19.56",
"10.93"
] | A:B = 5:3
B:C = 5:2
A:B:C = 25:15:6
15/46 * 60 = 19.56
ANSWER:D
The answer is: D | D |
mathematics | What will come in place of the x in the following Number series? 12, 38, 116, x, | [
"2643",
"350",
"3456",
"7554",
"3158"
] | 12
12 × 3 + 2 = 38
38 × 3 + 2 = 116
116 × 3 + 2 = 350
B
The answer is: B | B |
mathematics | a circular wheel radius is 1.75m.for covering 11k.m how much time it revolve? | [
"10",
"100",
"1000",
"10000",
"50"
] | distance traveled in 1 round=perimeter={2*22/7*175/100}m
=11 m
total no. of revolution in covering 11 km=11000/11=1000
answer C
The answer is: C | C |
mathematics | Jill’s compact disc player randomly plays a song, so that no song is repeated before the entire album is played. If Bill plays a disc with 18 songs, what are the chances that the third song he hears will be his favorite? | [
"1/18",
"1/12",
"1/11",
"3/14",
"1/3"
] | The player plays the songs on the album at random, so there are 18 songs that can be the third one played. Only 1 of these ways will result in Bill's favorite song being the third one played.
Total outcomes ==> 18
Total positive outcomes ==> 1
Correct answer is A) 1/18
The answer is: A | A |
mathematics | Two pipes A and B can fill a cistern in 37 1/2 minutes and 45 minutes respectively. Both pipes are opened. The cistern will be filled in just half an hour, if the pipe B is turned off after? | [
"8",
"9",
"6",
"4",
"1"
] | Let B be turned off after x minutes. Then, part filled by (A + B) in x min + part filled by A in (30 - x) min = 1.
x(2/75 + 1/45) + (30- x) 2/75 = 1
11x + 180 - 6x = 225 => x = 9
Answer:B
The answer is: B | B |
mathematics | A dog takes 3 leaps for every 7 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is : | [
"9:7",
"9:9",
"9:6",
"9:1",
"9:2"
] | Explanation:
Dog : Hare = (3*3) leaps of hare : 7 leaps of hare = 9 : 7.
Answer: A) 9:7
The answer is: A | A |
mathematics | How many Z ways can you group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen? | [
"3",
"16",
"28",
"32",
"56"
] | Ways to select 3 people from 8 people (4 twins x 2) = 8C3 = 56
Ways to select 1 twin + 1 people = 4C1*6C1 = 24
Ways to select a group 3 people from 4 sets of twins if no two people from the same set of twins can be chosen Z= 56 - 24 = 32
Ans: D
The answer is: D | D |
mathematics | In an increasing sequence of 10 consecutive integers, the sum of the first 5 integers is 555. What is the sum of the last 5 integers in the sequence? | [
"585",
"580",
"575",
"570",
"565"
] | All 5 integers are 5 numbers larger than in the first sum (eg. 1 becomes 6, 2 7...). 5*5=25+555=580
B
The answer is: B | B |
mathematics | A small company employs 3 men and 5 women. If a team of 3 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 women? | [
"1/14",
"1/7",
"2/7",
"5/7",
"1/2"
] | Total ways to choose 4 employees from 8 employees = 8C3
Two women = 5C2
Two Men = 3C1
P = (5C2 * 3C1)/8C2 = 5/7 hence D.
The answer is: D | D |
mathematics | 45 men working 8 hours per day dig 30 m deep. How many extra men should be put to dig to a depth of 50 m working 6 hours per day? | [
"77",
"66",
"50",
"55",
"44"
] | (45 * 8)/30 = (x * 6)/50 => x =100
100 – 45 = 55
Answer: D
The answer is: D | D |
mathematics | A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits o... | [
"1987",
"2799",
"3288",
"3000",
"2982"
] | A:B:C = 5:6:4
Let the total profit = 100 - 30 = 70
5/15 * 70 = 70/3
A share = 70/3 + 30 = 160/3
B + C share = 100 - 160/3 = 140/3
A-(B+C) = 160/3 - 140/3 = 20/3
20/3 ---- 200
100 ---- ? => 3000
Answer: D
The answer is: D | D |
mathematics | A is twice efficient as B and together they do the same work in as much time as C and D together. If C and D can complete the work in 20 and 30 daysrespectively, working alone ,then in how many days A can complete the work individually: | [
"12 days",
"18 days",
"24 days",
"30 days",
"None of these"
] | Explanation:
A + B = C + D
| | | |
Ratio of efficiency 10x + 5x 9x + 6x
|________| |_________|
15x 15x
Therefore , ratio of efficiency of A:C =10:9
Therefore, ratio of days taken by A:C = 9:10
Therefore, number of days taken by A = 18 days
Answer: B
The answer is: B | B |
mathematics | how many prime no. are there from 0 to 50? | [
"14",
"15",
"16",
"17",
"19"
] | we calculate it manually.we know the definition of prime no.prime no. should only have two distinct​ natural no. divisor 1 and itself.
note:1 is not a prime no.
2,3,5,7,11,13,17,19,23,29,31,37,41,43,47
total no.=15
answer B
The answer is: B | B |
mathematics | Dan has a membership at a local gym that also gives classes three nights a week. On any given class night, Dan has the option of taking yoga, weight training, or kickboxing classes. If Dan decides to go to either one or two classes per week, how many different combinations T of classes are available? | [
"3",
"T=6",
"T=7",
"T=9",
"T=12"
] | I think it should be E only.
No where it is given that he attends different classes on each day.
Experts please provide your views.
--- EDITED my Response. It was a typo. I meant 12 is the answer.
If only Day 1 : 3 options
If Day 1 and Day 2 : 3*3 = 9 Options
So, Total = 3+9= 12.
The answer is: D | D |
mathematics | find the number, difference between number and its 3/5 is 60. | [
"150",
"153",
"154",
"155",
"156"
] | Explanation:
Let the number = x,
Then, x-(3/5)x = 60,
=> (2/5)x = 60 => 2x = 60*5,
=> x = 150
Answer: Option A
The answer is: A | A |
mathematics | There are 3 numbers A, B and C. If A:B = 3/4, B:C = 4/5, C:D = 5/6, then A:D will be? | [
"1 : 2",
"2 : 3",
"3 : 5",
"4 : 7",
"4 : 9"
] | Sol. A : B = 3 : 4, B : C = 4 : 5, C : D = 5 : 6
∴A∶B∶C∶D= 3 : 4 : 5 : 6.
Thus, A : D = 3 : 6 or, 1 : 2
A
The answer is: A | A |
mathematics | A & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 4500 as profit , what is their total profit? | [
"28000",
"30000",
"31500",
"34000",
"None of these"
] | Explanation :
Suppose B's investment = x. Then A's investment= 3x
Suppose Bs period of investment = y, then A's period of investment = 2y
A : B = 3x * 2y : xy
= 6 : 1
Total profit * 1/7 = 4500
=> Total profit = 4500*7 = 31500. Answer : Option C
The answer is: C | C |
mathematics | If n = 8p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ? | [
"Two",
"Three",
"Four",
"Six",
"Eight"
] | If n = 8p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
(A) Two
(B) Three
(C) Four
(D) Six
(E) Eight
Since we cannot have two correct answers just pick a prime greater than 2, and see how many different positiveevendivisors will 8p have.
p = 3 --> 8p = 2... | D |
mathematics | Laura can paint 1/x of a certain room in 20 minutes. What fraction Z of the same room can Joseph paint in 20 minutes if the two of them can paint the room in an hour, working together at their respective rates? | [
"1/(3x)",
"3x/(x-3)",
"(x – 3)/(3x)",
"x/(x-3)",
"(x-3)/x"
] | Options with variables are often done by plugging in numbers.
Both working together can paint the room in 1 hr so if their individual rates were equal, each would take 2 hours alone.
2 hours is 120 mins so in 20 mins each would complete Z=120/20 = 1/6th of the room alone.
So if x = 6 (Laura completes 1/6th of the room ... | C |
mathematics | Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 222 marks in the second test and failed by 39 marks in that test. Find the pass mark in the first test? | [
"768",
"232",
"246",
"625",
"224"
] | Let the maximum mark in each test be M.
The candidate failed by 36 marks in the second test.
pass mark in the second test = 222 + 39 = 252
45/100 M = 261
Pass mark in the first test = 40/100 M = 40/45 * 261 = 232
Answer:B
The answer is: B | B |
mathematics | There are some balloons in party, 1/3rd blasted by kids . Then 2/5th of the remaining by men , then 2/3rd of the remaining by women . At last 20 were remaining . How many balloons were in total ? | [
"150",
"27",
"28",
"26",
"91"
] | Sol:
45
If x persons were there in total , then
x × (1 – 1/3)× (1 – 2/5) ×(1 – 2/3) = 20
x×2/3 × 3/5 × 1/3 = 20
x = 150
Answer:A
The answer is: A | A |
mathematics | A and B complete a work in 3 days. A alone can do it in 9 days. If both together can do the work in how many days? | [
"3.75 days",
"4.75 days",
"3.25 days",
"3.15 days",
"2.75 days"
] | 1/3 + 1/9 = 4/9
9/4 = 4.75 days
Answer: B
The answer is: B | B |
mathematics | After decreasing 20% in the price of an article costs Rs.600. Find the actual cost of an article? | [
"775",
"620",
"53",
"530",
"220"
] | CP* (80/100) = 600
CP= 7.75 * 100 => CP = 775
Answer: A
The answer is: A | A |
mathematics | The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 60 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam. | [
"22",
"27",
"15",
"99",
"21"
] | Let the number of students who wrote the exam be x.
Total marks of students = 80 x.
Total marks of (x - 5) students = 90(x - 5)
80x - (5 * 60) = 90(x - 5)
150 = 10x => x = 15.Answer: C
The answer is: C | C |
mathematics | On a map, 1 centimeter represents 25 kilometers. Two cities 425 kilometers apart would be separated on the map by how many centimeters? | [
"25",
"17",
"19",
"310",
"280"
] | X=425/25= 17
Answer: B
The answer is: B | B |
mathematics | How many digits will be there to the right of the decimal point in the product of 95 and .02554 ? | [
"6",
"7",
"4",
"5",
"8"
] | product of 95 and .02554 is 2.4263.
Therefore number of digits to right of decimal point is 4
Answer is C.
The answer is: C | C |
mathematics | Evaluate : (2.39)(power 2) - (1.61) (power 2) / 2.39 - 1.61 | [
"4",
"6",
"8",
"2",
"10"
] | Given Expression = a(power 2) - b(power 2) / a-b
= (a + b)(a - b) / (a-b)
= (a + b) = (2.39 + 1.61) = 4.
Answer is A.
The answer is: A | A |
mathematics | The length of a train and that of a platform are equal. If with a speed of 90 k/hr, the train crosses the platform in one minute, then the length of the train (in meters) is? | [
"278",
"272",
"892",
"750",
"298"
] | Speed = [90 * 5/18] m/sec = 25 m/sec; Time
= 1 min.
= 60 sec.
Let the length of the train and that of the platform be x meters.
Then, 2x/60 = 25 è x = 25 * 60 / 2
= 750
Answer: D
The answer is: D | D |
mathematics | The mean of (54,825)^2 and (54,827)^2 = | [
"(54,821)^2",
"(54,821.5)^2",
"(54,820.5)^2",
"(54,826)^2 + 1",
"(54,821)^2 – 1"
] | 54825^2 = (54826-1)^2 = 54826^2 + 1^2 - 2*54826*1
54827^2 = (54826+1)^2 = 54826^2 +1^2 + 2*54826*1
Taking the average of above 2 , we get (54826)^2 +1
hence the answer is D
The answer is: D | D |
mathematics | The number of boys in a class is three times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ? | [
"48",
"44",
"42",
"40",
"4"
] | remaining are divisible by 4
ANSWER:C
The answer is: C | C |
mathematics | If 28% of a number exceeds 18% of it by 7.2, then find the number? | [
"50",
"34",
"55",
"60",
"90"
] | Use the elimination method to find the correct option.
Of all the options only 90 fits
28% of 90 = 25.2
18% of 90 = 16.2
25.2 - 16.2 = 7.2
Required number is 90.
ANSWER:E
The answer is: E | E |
mathematics | The no. of girls in a class are seven times the no. of boys, which value cannever be the of total students? | [
"3",
"4",
"8",
"9",
"12"
] | Let the boys are X, then girls are 7X, total = X+7X = 8X
So it should be multiple of 8, 30 is not a multiple of 8.
C
The answer is: C | C |
mathematics | The speed of a car is 10 km in the first hour and 60 km in the second hour. What is the average speed of the car? | [
"79 kmph",
"85 kmph",
"35 kmph",
"23 kmph",
"14 kmph"
] | S = (10 + 60)/2
= 35 kmph
Answer:C
The answer is: C | C |
mathematics | A 1200 m long train crosses a tree in 120 sec, how much time will I take to pass a platform 700 m long? | [
"177",
"190",
"178",
"124",
"121"
] | L = S*T
S= 1200/120
S= 10 m/Sec.
Total length (D)= 1900 m
T = D/S
T = 1900/10
T = 190 Sec
Answer: B
The answer is: B | B |
mathematics | A person can walk at a constant rate of 8mph and can bike at a rate of 16mph. If he wants to travel 88 miles in 8 hours using bike and walking at their constant rates, how much distance would he require to walk? | [
"20",
"30",
"40",
"60",
"72"
] | Total distance = 88
Distance = Speed * Time
Walking speed = s1 = 8
Walking time = t1
Bike speed = s2 = 16
Time traveled in bike = t2
d1 + d2 = 88
s1t1 + s2t2 = 88
8*t1 + 16*t2 = 88
t1 + 2*t2 = 11 ----- (1)
Given: t1 + t2 = 8 ----- (2)
(1) - (2) --> t2 = 3 and t1 = 8 - 3 = 5
Walking distance = s1*t1 = 8*5 = 40
Answer: C... | C |
mathematics | In an examination 60% failed in Math and 40% failed in French. If 15% failed in both. What % of students passed in both. | [
"25%",
"15%",
"20%",
"30%",
"10%"
] | Passed in Math = 100 - 60 = 40%
Passed in French = 100 - 40 = 60%
Students who passed Math or French = 100 -15 = 85%
Students passed in Math and French = (Passed in Math) + (Passed in French) - (Students who passed Math or French) = 60+40-85 =15%
ANSWER:B
The answer is: B | B |
mathematics | If x^2 - 4 = 0 and x < 0, which of the following must be equal to 0 ? | [
"x^2 - 9x",
"x^2 - 9x + 20",
"x^2 - 2x + 3",
"x^2 + 2x - 3",
"x^2 + 5x + 6"
] | x^2-4 = 0
x= +2 or x = -2
if we substitute x= -2 in the equation x^2 +5x+6 = 4-10+6 = 0
E is also the answer
The answer is: E | E |
mathematics | A bus stops for taking passengers. The speed of the bus with stoppages is 36 km/hr and without stoppages is 45 km/hr.For how many minutes bus stopped per hour? | [
"10 min",
"11 min",
"12 min",
"13 min",
"None of these"
] | Explanation :
It takes 9 km less due to stoppages. Time spend in stoppages=(9/45)*60=12 min
Answer : C
The answer is: C | C |
mathematics | Paul's income is 40% less than Rex's income, Quentin's income is 20% less than Paul's income, and Sam's income is 40% less than Paul's income. If Rex gave 60% of his income to Sam and 40% of his income to Quentin, sam's new income would be what fraction of Quentin's new income? | [
"11/12",
"12/11",
"13/19",
"12/19",
"11/19"
] | MAKE R = 10
P = 0.6R = 6
Q = 0.8P = 4.8
S= 0.6P = 3.6
FOR THAT WE GET S = 9.6
AND Q 8.8
SO 9.6/8.8= 1.2/1.1
Ans:B
The answer is: B | B |
mathematics | In each of the following questions a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and fill in the blank spaces.
2, 7, 14, ?, 34, 47 | [
"31",
"23",
"36",
"31",
"33"
] | B
23
The given sequence is +5, +7, +9, ——
ie. 2+ 5 = 7, 7 + 7 = 14, 14 + 9 = 23
The answer is: B | B |
mathematics | If 2 cards are selected at random from the deck of 52 cards then What is the probability of one of the selected cards will be King and other will be Jack?
A deck of cards has a total of 52 cards, consisting of 4 suits; (spades(Black), hearts(Red), diamond(Red)s, and clubs(Black)); and 13 cards including 1 king, 1 queen... | [
"8/2652",
"1/2652",
"18/2652",
"12/2652",
"6/2652"
] | 2 possible cases:
King - Jack or Jack -King (4 kings and 4 Jacks).
Either way,
the total probability = 2( King -Jack) = 2 (4/52 * 4/51) = 18/2652. C is the correct answer.
The answer is: C | C |
mathematics | Kathleen can paint a room in 2 hours, and Anthony can paint an identical room in 7 hours. How many hours would it take Kathleen and Anthony to paint both rooms if they work together at their respective rates? | [
"28/9",
"4/3",
"15/8",
"9/4",
"15/4"
] | (1/2 + 1/7)t=2
t=28/9
Answer: A
The answer is: A | A |
mathematics | What will come in place of the x in the following Number series? 25, 100, x, 1600, 6400 | [
"2345",
"3579",
"6400",
"6799",
"8646"
] | (C)
25 x 4 = 100, 100 x 4 = 400, 400 x 4 = 1600, 1600 x 4 = 6400.
The answer is: C | C |
mathematics | The average number of shirts with Salman, Ambani and Dalmiya is 60, if all of them reached a shopping mall in Delhi and purchased 6 shirts each of them then average number of shirt each of them now has | [
"66",
"63",
"62",
"64",
"61"
] | Required average
= Old average + New average
= 60 + 6 = 66
answer :A
The answer is: A | A |
mathematics | The perimeter of an isosceles right triangle is 4 + 4 sq rt 2. What is the length of the hypotenuse of the triangle? | [
"2.82",
"2",
"3",
"4",
"5"
] | side of triangle is a then perimeter = a+ a +a.sqrt2 ( right angle and pythagorus) =2a +a .sqrt 2 = 4 + 4 Sqrt2 or,
a. ( 2+ sqrt2) = 4(1 + sqrt2) a= 4.( 1+sqrt2)/2+sqrt2 =4*2.414/3.414 = then hypotenuse = 2.82
A
The answer is: A | A |
mathematics | A trade analyst announced 8% reduction in the unit price of bike. As a result, the sales volume went up by 20%. What was the net effect on the sales revenue? | [
"no change",
"decreases by 10.4%",
"increases by 10.4%",
"increases by 10%",
"None of these"
] | Explanation :
Reduction of price = (100 -8)% = 92% = 0.92
Increase of sale = (100+20)% = 120% = 1.20
Total effect = 0.92 X 1.20 = 110.4%, Increases by 10.4%
Answer : C
The answer is: C | C |
mathematics | A waitress's income consists of her salary and tips.During one week ,her tips were 7/4 of her salary.What fraction of her income for the week came from tips? | [
"1/9",
"1/6",
"2/3",
"4/9",
"7/11"
] | Her tips were 7/4 of her salary.
Let's say her salary =$4
This mean her tips = (7/4)($4) =$7
So, her TOTAL INCOME =$4+$7=$11
What fraction of her income for the week came from tips
$7/$11= 7/11
= E
The answer is: E | E |
mathematics | If green means red, red means yellow, yellow means blue, blue means orange and orange means green, what is the colour of leaf ? | [
"Red",
"Green",
"Yellow",
"Orange",
"Pink"
] | Explanation:
The colour of leaf is 'green' and as given 'orange' means 'green'.
so, the colour of leaf is 'red'.
Answer: D
The answer is: D | D |
mathematics | How many digits will be there to the right of the decimal point in the product of 89.635 and .02218? | [
"5",
"6",
"7",
"8",
"9"
] | Explanation :
Sum of decimal places = 3 + 5 = 8
The last digit to the extreme right is zero (Since 5 x 8 = 40)
Hence, there will be 7 significant digits to the right of the decimal point. Answer : Option C
The answer is: C | C |
mathematics | In a simultaneous throw of pair of dice .find the probability of getting the total more than 7? | [
"12/5",
"5/12",
"6/4",
"2/3",
"4/7"
] | Here n(S)=(6*6)=36
let E=event of getting a total more than 7
={(2,6),(3,5),(3,6),(4,4),(4,5),(4,6),(5,3),(5,4),(5,5),(5,6),(6,2),(6,3),(6,4),(6,5),(6,6)}
P(E)=n(E)/n(S)=15/36=5/12
Option B
The answer is: B | B |
mathematics | If a, b, and c are consecutive odd positive integers and a < b < c, which of the following could be equal to c - b - a+2 ? | [
"-1",
"3",
"-4",
"-1/2",
"-1/3"
] | let we put values. a=1, b=3, c=5
5-3-1=1
1+2 =3
Answer :B
The answer is: B | B |
mathematics | The average of a couple was 23Yrs when they were married 5Yrs ago.The avg age of
the couple and a child, who was born during the interval, is 20Yrs now. How old is the
child now ? | [
"2 Yrs",
"4 Yrs",
"3 Yrs",
"1 Yrs",
"None of these"
] | (a+b-5-5)/2=23;
a+b=56;
a+b+c/3=20;
solving both c=4
ANSWER:B
The answer is: B | B |
mathematics | Which of these lines in the xy-plane does not contain any point with two negative coordinates? | [
"y = 3x",
"y = x + 8",
"y = x^2 - 4",
"y = x^3 + 2x",
"y = x^2"
] | x^2 is 0 when x is 0 and positive for all other values of x.
The answer is E.
The answer is: E | E |
mathematics | Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is? | [
"8 days",
"10 days",
"12 days",
"14 days",
"16 days"
] | If A can complete a work in x days and B can complete the same work in y days, then, both
of them together can complete the work in x y/ x+ y days.
That is, the required No. of days = 10 × 40/50 = 8 days
A)
The answer is: A | A |
mathematics | If e > a and L < a, which of the following cannot be true? | [
"d + L = 14",
"d - L = 7",
"d - L = 1",
"a - e = 9",
"a + d = 9"
] | Is the answer D?
If e>a, then e-a>0 (always positive). The converse would be a-e<0 (always negative). Option D states that a-e=9, which can never be true.
The answer is: D | D |
mathematics | Two trains running in opposite directions cross a man standing on the platform in 35 seconds and 28 seconds respectively and they cross each other in 32 seconds. The ratio of their speeds is: | [
"3 : 1",
"4: 3",
"3 : 8",
"3 : 25",
"3 : 4"
] | Let the speeds of the two trains be x m/sec and y m/sec respectively. Then, length of the first train = 35 x meters, and length of the second train = 28 y meters. (35 x + 28 y) / (x + y) = 32
==> 35 x + 28 y = 32 x + 32 y ==> 3 x = 4 y ==> x/y = 4/3
Answer: Option B
The answer is: B | B |
mathematics | With a uniform speed a car covers the distance in 8 hours. Had the speed been increased by 4 km/hr, the same distance could have been covered in 7 1/2 hours. What is the distance covered? | [
"187 km",
"480 km",
"278 km",
"297 km",
"671 km"
] | Let the distance be x km. Then,
x/(7 1/2) - x/8 = 4
2x/15 - x/8 = 4 => x = 480 km.
Answer:B
The answer is: B | B |
mathematics | 8 liters of solution is removed from 20% milk solution and 8 liters of water is added to the solution. The resulting solution has 16% milk in it. What was the initial quantity of the 20% milk solution? | [
"40 Ltrs",
"50",
"60",
"70",
"80"
] | Allegation method.
Concentration of Alcohol in original sol - 20%
Concentration of Alcohol in water -- 0%
Concentration of Alcohol in final sol -- 16%
After applying allegation as shown in figure they have to be mixed in 4:1 part
1 part is given as 8 ltr, so total initial volume is 5 part = 5*8 = 40 Ltrs
ANSWER:A
The a... | A |
mathematics | 4.036 divided by 0.04 gives : | [
"100.8",
"100.2",
"100.5",
"100.9",
"100.7"
] | = 4.036/0.04
= 403.6/4
= 100.9
Answer is D.
The answer is: D | D |
mathematics | Simplfy
4b - [b -(a+b) - {b - (b - a+b)} + 2a] | [
"a",
"2a",
"4a",
"0",
"3b"
] | Explanation:
4b-[b-(a+b)-{b-(b-a+b)}+2a]
=4b-[b-a-b-{b-(2b-a)}+2a]
=4b-[-a-{b-2b+a}+2a]
=4b-[-a-{-b+a}+2a]
=4b-[-a+b-a+2a]
=4b-[-2a+b+2a]
=4b-b
=3b
Option E
The answer is: E | E |
mathematics | Find the greatest number which leaves the same remainder when it divides 25, 57 and 105. | [
"23",
"28",
"18",
"16",
"12"
] | Explanation:
105 - 57 = 48
57 - 25 = 32
105 - 25 = 80
The H.C.F of 32, 48 and 80 is 16.
Answer: D
The answer is: D | D |
mathematics | What percent of the different arrangements of the letters of the word ABACUS are those in which the vowels appear together? | [
"10%",
"20%",
"40%",
"50%",
"60%"
] | The total number of different arrangements are 6!/2=360. We divide here by 2, since we have two same letters A.
Letters A, A, and U are vowels. Put them together and consider as one object. So, we have 4 different objects (AAU) B C S. The number of different arrangements of them are 4!=24. And we have 3 possibilities t... | B |
mathematics | Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 8100
interest only for the period. The principal amount borrowed by her was | [
"Rs. 22500",
"Rs. 10000",
"Rs. 15000",
"Rs. 20000",
"None of these"
] | Explanation :
Principal = Rs. (100×8100 / 12×3)
=> Rs. 22500.
Answer : A
The answer is: A | A |
mathematics | A fair coin is tossed 9 times. What is the probability of getting more heads than tails in 9 tosses? | [
"1/2",
"63/128",
"4/7",
"61/256",
"63/64"
] | On each toss, the probability of getting a head is 1/2 and the probability of getting a tail is 1/2.
There is no way to get the same number of heads and tails on an odd number of tosses.
There will either be more heads or more tails.
Then there must be more heads on half of the possible outcomes and more tails on half ... | A |
mathematics | There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle. | [
"87∏ cm",
"56∏ cm",
"12∏ cm",
"16∏ cm",
"75∏ cm"
] | Let the radii of the larger and the smaller circles be l cm and s cm respectively. Let the side of the square be a cm.
a2 = 784 = (4)(196) = (22).(142)
a = (2)(14) = 28
a = 2l, l = a/2 = 14
l = (7/3)s
Therefore s = (3/7)(l) = 6 Circumference of the smaller circle = 2∏s = 12∏ cm.
Answer:C
The answer is: C | C |
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